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Modelling and computation of liquid crystals

Published online by Cambridge University Press:  04 August 2021

Wei Wang
Affiliation:
Department of Mathematics, Zhejiang University, Hangzhou310027, China E-mail: wangw07@zju.edu.cn
Lei Zhang
Affiliation:
Beijing International Center for Mathematical Research, Center for Quantitative Biology, Peking University, Beijing100871, China E-mail: zhangl@math.pku.edu.cn
Pingwen Zhang
Affiliation:
School of Mathematical Sciences, Peking University, Beijing100871, China E-mail: pzhang@pku.edu.cn

Abstract

Liquid crystals are a type of soft matter that is intermediate between crystalline solids and isotropic fluids. The study of liquid crystals has made tremendous progress over the past four decades, which is of great importance for fundamental scientific research and has widespread applications in industry. In this paper we review the mathematical models and their connections to liquid crystals, and survey the developments of numerical methods for finding rich configurations of liquid crystals.

Type
Research Article
Copyright
© The Author(s), 2021. Published by Cambridge University Press

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